The aim of this work is to study a class of symbols of infinite order and to develop a global calculus for the corresponding pseudodifferential operators. In particular, we obtain results of boundedness for the operators and of global regularity for the solutions of the associated equations in the Gelfand spaces.
Gelfand spaces and pseudodifferential operators of infinite order in R^n
CAPPIELLO, Marco
2002-01-01
Abstract
The aim of this work is to study a class of symbols of infinite order and to develop a global calculus for the corresponding pseudodifferential operators. In particular, we obtain results of boundedness for the operators and of global regularity for the solutions of the associated equations in the Gelfand spaces.
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